Atkin-Lehner |
3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455v |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
288057515625 = 36 · 56 · 113 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4164,101195] |
[a1,a2,a3,a4,a6] |
Generators |
[26:87:1] |
Generators of the group modulo torsion |
j |
8230172859/296875 |
j-invariant |
L |
8.9728759097343 |
L(r)(E,1)/r! |
Ω |
0.96717976298554 |
Real period |
R |
1.5462268491851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11495a1 103455y1 |
Quadratic twists by: -3 -11 |